Stacy, as others have said, this is generally not how Airbnb works.
That said, you can make your listing however you see fit (within reason).
There *are* people who are just looking for a place to crash for the night. Several of my guests have arrived late in the evening and left early the next morning, just like you'd like. But they are the exception. Most Airbnb guests plan to stay for at least a couple of days.
If you choose to post your listing, I'd recommend making it VERY clear that it is just for quick overnight stays. When you get a booking, I'd suggest repeating your restrictions by email to confirm that's what the guest is looking for.
You can make it work. I wouldn't expect a lot of bookings, and be prepared for guests that didn't read and are confused and possibly mad that you expect them to leave so early. But if you play it right, it could work.
Jamie